(a) Show that the maximum in the Planck distribution, Eq. (38.32), occurs at a wavelength Am given by Am = hc/4.965kT (Eq. 38.33). As discussed in the text, 4.965 is the root of Eq. (38.34).
(b) Evaluate the constants in the expression derived in part (a) to show that Am T bas the numerical value given in the Wien displacement law, Eq. (38.30).